Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Number worksheet — GCSE Higher
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- 1.Simplify x⁶ ÷ x²
- 2.Work out the value of (1/3)⁻²
- 3.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.
- 4.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.
- 5.Work out (−2)² − 3
- 6.Simplify ⁴√(16a⁸b¹²)
- 7.Work out (−6) + (−4) × 3
- 8.Work out √225 ÷ 3.
- 9.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 10.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.
- 11.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 12.Write ∛(x²) as a single power of x.
- 13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.
- 14.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.
- 15.Write 0.36 as a fraction in its simplest form.
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